Numerical analysis finite element course finite element analysis. Medical search. Frequent questions

SIAM Journal on Numerical Analysis, Bd. (oeaw.ac.at)
SIAM Journal on Numerical Analysis, 37 (2), pp. 556-586. (dlr.de)
E. Hansen, A. Ostermann, Finite element Runge-Kutta discretizations of porous medium type equations , SIAM Journal on Numerical Analysis, 46 (2008) pp. 1769-1779. (lu.se)
E. Hansen, Convergence of multistep time discretizations of nonlinear dissipative evolution equations , SIAM Journal on Numerical Analysis, 44 (2006) pp. 55-65. (lu.se)
E. Engström, E. Hansen, Convergence analysis of the nonoverlapping Robin - Robin method for nonlinear elliptic equations , SIAM Journal on Numerical Analysis, 60 (2022) pp. 585 - 605. (lu.se)

C. JOHNSON, Numerical solutions of partial differential equations by the finite element methods, Cambridge University Press, 1987. (esaim-m2an.org)
In recent years, a number of finite element methods have been formulated for the solution of partial differential equations on complex geometries based on non-matching or overlapping meshes. (harvard.edu)
Therein, we find that the original variational inequality can be replaced by a sequence of semilinear partial differential equations (PDEs) that are readily discretized and solved with, e.g., high-order finite elements. (ox.ac.uk)
Work on a Ph.D. thesis on "Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations" under the supervision of Prof. R. Rannacher (Heidelberg). (colostate.edu)
This includes the construction, analysis, implementation and application of numerical methods for initial value problems, boundary value problems and different types of partial differential equations. (lu.se)
discretise ordinary and partial differential equations using finite difference and finite element methods and independently implement and apply such algorithms, · logically and with adequate terminology describe the construction of basic numerical methods and algorithms, · independently proceed from observation and interpretation of results to conclusion, and present and give an account of his or her conclusions on a scientific basis in a free report format. (lu.se)
Time dependent partial differential equations: numerical schemes for the diffusion equation. (lu.se)

P.-A. RAVIART and J. M. THOMAS, 1977, A Mixed Finite Element Method for 2-nd Order Elliptic Equations, in Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics, 606, ed. (esaim-m2an.org)
In the present paper, the flow in a square cavity, filled with a magnetic fluid, to which a magnetic field is applied parallel to the moving wall, is numerically analyzed by the finite element method on the basis of governing equations for magnetic fluids with internal rotation. (elsevierpure.com)
An introduction to ordinary differential equations and their analysis. (umassd.edu)
Topics cover first order linear and nonlinear ordinary differential equations, second order and higher order homogeneous and nonhomogeneous linear differential equations, the linear system of ordinary differential equations, qualitative analysis, numerical solutions, series solutions. (umassd.edu)
To solve the state and corresponding adjoint equations we use the multimesh finite element method. (siam.org)
Butcher, J. C. The Numerical Analysis of Ordinary Differential Equations . (mit.edu)
Gear, C. W. Numerical Initial Value Problems in Ordinary Differential Equations . (mit.edu)
Inf-Sup Stable Finite Element Methods for the Landau-Lifshitz-Gilbert and Harmonic Map Heat Flow Equations. (mpg.de)
Numerical analysis and scientific computing, higher order methods for solving non-linear evolution equations, generic software design for grid based numerical schemes, geophysical flows, radiation magnetohydrodynamics. (warwick.ac.uk)
Bound-preserving finite element approximations of the Keller-Segel equations. (us.es)
Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling. (us.es)
The overarching goal of the course is that the students on completion of the course should have acquired a thorough knowledge regarding the basics of numerical analysis for differential equations. (lu.se)

S. Jensen, 1992, p-version of the mixed finite element method for Stokes-like problems, Comp. (esaim-m2an.org)

In numerical mathematics, the Uzawa iteration is an algorithm for solving saddle point problems. (wikipedia.org)
Your studies will cover the key areas of mathematics such as algebra, analysis, probability and statistics. (imperial.ac.uk)
As part of the Pure Mathematics specialisation, you will examine a variety of relevant concepts including Algebraic Number Theory, Functional Analysis, Topology and Probability Theory. (imperial.ac.uk)
Numerical linear algebra is fundamental to all areas of computational mathematics. (umassd.edu)
F. Brezzi, J.-L. Lions, and O. Pironneau, Analysis of a Chimera method , Comptes Rendus de l'Academie des Sciences Series I Mathematics, 332 (2001), pp. 655--660. (siam.org)
Numerical Mathematics 43 (2003): 881-900. (mit.edu)
K.-J. Bathe and F. Brezzi , On the convergence of a four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation , The mathematics of finite elements and applications, V (Uxbridge, 1984) Academic Press, London, 1985, pp. 491-503. (ams.org)
Philippe G. Ciarlet , The finite element method for elliptic problems , Studies in Mathematics and its Applications, Vol. 4, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1978. (ams.org)
Mathematics applied to cell biology, (biophysical) models of dynamic spatial biological systems, analysis of experimental data using Bayesian model fitting methods (Markov chain Monte Carlo algorithms). (warwick.ac.uk)

M. R. DORR, 1984, The approximation theory for the p-version of the finite element method, SIAM J. Numer. (esaim-m2an.org)
Here we focus on fundamental construction principles, approximation properties and stability of the respective numerical method. (degruyter.com)
We also propose a modification of a known scheme that allows the use of linear finite element approximation and we prove optimal error bounds. (ams.org)
Analysis of a fully discrete approximation for the classical Keller Segel model: Lower and a priori bounds. (us.es)
M. Feischl, T. Führer, M. Karkulik, J. M. Melenk, and D. Praetorius, Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, Part II: Hyper-singular integral equation , Electron. (siam.org)
We address this issue by proposing a new method based on approximating the covariance operator $L^{-2\beta}$ of the Gaussian field $u$ by a finite element method combined with a rational approximation of the fractional power. (lu.se)

The band structure of a photonic crystal slab is analyzed by the finite-element method. (go.jp)

An elastic-plastic constitutive law based on the Mohr-Coulomb criteria is used to describe the soil behavior, and contact soil-retaining wall is modeled by interface elements. (praiseworthyprize.org)
This paper aims to analyze nonlinear finite strain consolidation with secondary consolidation behavior. (hindawi.com)
However, the secondary consolidation behavior is not considered in the majority of existing finite strain consolidation theories. (hindawi.com)
So it is necessary to consider the secondary consolidation behavior in the study of finite strain consolidation. (hindawi.com)
Experimental/numerical techniques implemented to investigate the collapse behavior of steel pipes are presented. (emerald.com)
The importance of numerical models to predict the behavior of physical systems grows continuously. (upc.edu)
Modelling of materials behavior in finite element analysis and simulation of machining processes: Identification techniques and challenges. (routledge.com)
A better understanding of the behavior of the gob will allow numerical models to be more accurate for simulating longwall mining conditions. (cdc.gov)
In this study, a gob model based on the Terzaghi's model was incorporated into the comprehensive finite element package, ABAQUS, to simulate the loading behavior of longwall gob material. (cdc.gov)
The study involved conducting mechanical experiments and numerical simulations to investigate the mechanical behavior of the Physiomesh/Securestrap system under pressure load. (bvsalud.org)

Electronic Transactions on Numerical Analysis, Bd. (oeaw.ac.at)

J. Jr. DOUGLAS and J. E. ROBERTS, 1982, Mixed finite element methods for second order elliptic problems, Mat. (esaim-m2an.org)
F. A. MlLNER and M. SURI, 1992, Mixed Finite Element Methods for Quasilinear Second Order Elliptic Problems : the p-version. (esaim-m2an.org)
M. SURI, 1990, On the stability and convergence of higher order mixed finite element methods for second order elliptic problems, Math. (esaim-m2an.org)
Ciarlet, P. G. The Finite Element Method for Elliptic Problems . (mit.edu)
M. Bürg and M. Nazarov, Goal-oriented adaptive finite element methods for elliptic problems revisited , J. Comput. (siam.org)

S. JENSEN and M. VOGELIUS, 1990, Divergence stability in connection with the p version of the finite element method, RAIRO, Modélisation Math. (esaim-m2an.org)
This paper is concerned with the generalization of the finite element method via the use of non-polynomial enrichment functions. (degruyter.com)
Several methods employ this general approach, e.g. the extended finite element method and the generalized finite element method. (degruyter.com)
To this end, we consider meshbased and meshfree generalizations of the finite element method and the use of smooth, discontinuous, singular and numerical enrichment functions. (degruyter.com)
We will demonstrate the performance and the favor of the method through numerical experiments. (degruyter.com)
To better explain the interaction between the main elements (excavation, soil, retaining wall and structure), a numerical approach based on the finite element method is used. (praiseworthyprize.org)
Examples of such methods include the fictitious domain method, the extended finite element method, and Nitsche's method. (harvard.edu)
Based on the experimental data of Hangzhou soft clay samples, the new governing equation is solved with the finite element method. (hindawi.com)
The method offers new possibilities for structural analysis and presentation down to the nanometer range. (pdi-berlin.de)
O. C. Zienkiewicz , The finite element method in engineering science , McGraw-Hill, London-New York-Düsseldorf, 1971. (ams.org)
The second, expanded and revised, edition of The finite element method in structural and continuum mechanics . (ams.org)
The proximal Galerkin finite element method is a high-order, nonlinear numerical method that preserves the geometric and algebraic structure of bound constraints in infinitedimensional function spaces. (ox.ac.uk)
Proximal Galerkin: A structure-preserving finite element method for pointwise bound constraints arXiv preprint arXiv:2307.12444 2023. (ox.ac.uk)
In this paper, we derive, in the framework of the ux-free method, strict bounds for the energy norm of the error associated to a finite element computation. (upc.edu)
An improvement of the classical finite element method is proposed in [1], the NURBS-Enhanced Finite Element Method (NEFEM). (upc.edu)
The numerical results are presented to show the usefulness of the analysis method. (go.jp)
The massless method gave unreliable results for analyses of dams, especially for high-frequency excitations. (kth.se)
J. M. Cascon, C. Kreuzer, R. H. Nochetto, and K. G. Siebert, Quasi-optimal convergence rate for an adaptive finite element method , SIAM J. Numer. (siam.org)
The Poisson equation: finite differences and the finite element method. (lu.se)
Finite element method was used to simulate the clinical situation of a maxillary right central incisor restored by two different implant-abutment angulations, 15° and 25°, using two different crown materials (IPS E-Max CAD and zirconia). (bvsalud.org)
A rigorous convergence analysis of the method is performed and the accuracy of the method is investigated with numerical experiments. (lu.se)
This forms the basis for numerical calculations based on the finite element method. (lu.se)

C. JOHNSON and V. THOMÉE, 1981, Error estimates for some mixed finite element methods for parabolic type problems, RAIRO Anal. (esaim-m2an.org)

E. Hansen, E. Henningsson, Additive domain decomposition operator splittings - convergence analyses in a dissipative framework , IMA Journal of Numerical Analysis, 37 (2017) pp. 1496 - 1519. (lu.se)

Other topics include applications of eigenvalue, quadratic forms, Numerical Linear Algebra. (umassd.edu)
An introduction to numerical linear algebra. (umassd.edu)

Even more attention has been spent for glass systems under blast loading, including - when possible - both experimental and Finite Element (FE) numerical investigations (Larcher et al. (glassonweb.com)
The paper represents the first comprehensive experimental and numerical study for engineering failure analysis and appropriate design for the permanent mechanical support system for the tomb of the Sons of Ramesses II (KV5). (springer.com)
The engineering analysis had been carried out through the following four steps: 1-Evaluation of the surrounding rocks (marl limestone) by experimental investigation and the Roclab program to obtain Hoek Brown Classification criterion, Mohr- Coulomb fit and the rock mass parameters in particular the global strength and deformation modulus. (springer.com)
Numerical simulations using finite element analysis were employed to support the experimental findings. (bvsalud.org)
In addition, computer simulations on a model system of cartilage with the aim of going beyond the use of an ideal Donnan equilibrium approach in the analysis of experimental data pertaining to distribution of (Gd-DTPA)2 from MRI-data are performed. (lu.se)

Finite element discretization of a Stokes-like model arising in plasma physics. (mpg.de)

Asymptotic methods in the Calculus of Variations, PDE and Stochastic Analysis (Gamma-convergence techniques, Stochastic Homogenization, Large Deviations Theory). (warwick.ac.uk)
Error analysis, stability and convergence. (lu.se)

We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of [C. Carstensen et al. (siam.org)

Christ, H-J (2015) Numerical simulations of crack propagation in screws with phase-field modeling. (oeaw.ac.at)
This paper presents some of major outcomes of Finite Element (FE) numerical methods and simulations that have been explored in the framework of the GLASS-SHARD research project for glass windows and facades under explosion or soft-body impact. (glassonweb.com)
According to the tendency of recent years, this paper presents some of major outcomes of Finite Element (FE) numerical methods and simulations that have been explored in the framework of the GLASS-SHARD research project for glass windows and facades under explosion or soft-body impact. (glassonweb.com)
Numerical simulations supported these findings, revealing the reaction forces exceeding the experimentally determined strength of the mesh-tissue-staple junction. (bvsalud.org)

His recent work has focused on a numerical approach to modeling magnetic quantum dots. (sdsmt.edu)
High level modeling and analysis of physical defect due to radiations of microelectronics systems. (concordia.ca)
Modeling and analysis of biological systems. (concordia.ca)
TY - JOUR T1 - Non-Regularised Inverse Finite Element Analysis for 3D Traction Force Microscopy JO - International Journal of Numerical Analysis and Modeling VL - 5 SP - 763 EP - 781 PY - 2016 DA - 2016/09 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/464.html KW - Inverse analysis, linear elasticity, finite elements, three-dimensional traction force microscopy. (global-sci.org)
Particle Finite Element Modeling and Simulation of Machining Processes. (routledge.com)
Finite Element Modeling of Mechanical Micromachining. (routledge.com)
3- 2D and 3D integrated geotechnical modeling of the tomb environment for stress, displacement analyses and determination of volumetric strains and plastic points using advanced codes and programs like Examine 2D and PLAXIS 3D. (springer.com)
Finite element modeling of the plama scrape off layer in nuclear fuison device. (mpg.de)
Numerical modeling of the gob loading mechanism in longwall coal mines. (cdc.gov)
In the limited data available, the values of gob moduli used in numerical modeling ranged from 1,000 psi to over 300,000 psi. (cdc.gov)
The previous numerical study demonstrated these phenomena using a user-defined model of the s-shaped brittle failure criterion in conjunction with a spalling process in the FLAC3D numerical modeling software. (cdc.gov)

There will be a strong emphasis on principles of modelling and data analysis and you will learn to use the formal language of probability. (imperial.ac.uk)
Computational modelling of fibre-reinforced cementitious composites: An analysis of discrete and mesh-independent techniques. (tudelft.nl)
Numerical modelling of sinker EDM processes. (routledge.com)
Mathematical modelling of biological systems, especially the epidemiology of neglected tropical diseases and the analysis of biological systems in which noise plays an important role. (warwick.ac.uk)
The most effective models and modelling methods for the seismic analyses of such structures were implemented and evaluated. (kth.se)

By using a soft rubber material model, we setup a numerical model of the microvalve and validate it against experiments. (caltech.edu)
independently evaluate obtained numerical results in relation to the (unknown) solution of the differential equation studied, · independently present results and conclusions of scientifically performed numerical experiments, in written or oral form, with references and other documentation of work carried out in support of their conclusions. (lu.se)

Bathe, K. J. Finite Element Procedures . (mit.edu)

A. Bernland, E. Wadbro, and M. Berggren, Acoustic shape optimization using cut finite elements , Int. J. Numer. (siam.org)
C. Geuzaine and J.-F. Remacle, Gmsh: A 3- d finite element mesh generator with built-in pre- and post-processing facilities , Int. J. Numer. (siam.org)
I. Babuska and M. Vogelius, Feedback and adaptive finite element solution of one-dimensional boundary value problems , Numer. (siam.org)
R. Becker, E. Estecahandy, and D. Trujillo, Weighted marking for goal-oriented adaptive finite element methods , SIAM J. Numer. (siam.org)
R. Becker and R. Rannacher, A feed-back approach to error control in finite element methods: Basic analysis and examples , East-West J. Numer. (siam.org)
R. Becker and R. Rannacher, An optimal control approach to a posteriori error estimation in finite element methods , Acta Numer. (siam.org)

In the present paper we compute upper and lower bounds for limit analysis in two and three dimensions. (upc.edu)

Taking the nonlinear compressibility and nonlinear permeability of soils into consideration, the governing equation for finite strain consolidation analysis is derived. (hindawi.com)
The complete latent variable proximal Galerkin methodology combines ideas from nonlinear programming, functional analysis, tropical algebra, and differential geometry and can potentially lead to new synergies among these areas as well as within variational and numerical analysis. (ox.ac.uk)

Numerical Algorithms, Bd. (oeaw.ac.at)
independently and on a scientific basis select suitable computational algorithms for given problems, · apply such computational algorithms to problems arising from applications, · independently evaluate the relevance and accuracy of computational results, · present solutions of problems and numerical results in written form. (lu.se)

Multiscale domain decomposition analysis of quasi-brittle materials. (tudelft.nl)

This general concept is applied to the analysis of the discrete maximum principle for the higher-order finite elements in one-dimension and to the lowest-order finite elements on simplices of arbitrary dimension. (degruyter.com)
Maximal $L^p$-regularity, optimal $\ell^p(L^q)$ error estimate, and $\ell^p(W^{1,q})$ estimate are established for fully discrete finite element methods with multistep backward differentiation formula. (arxiv.org)
Functional analysis, high-dimensional and discrete geometry, information theory. (warwick.ac.uk)
En: Discrete and Continuous Dynamical Systems. (us.es)

This is carried out with the support of refined FE numerical models, within the framework of GLASS-SHARD research project. (glassonweb.com)

M. Ainsworth and J. T. Oden, A Posteriori Error Estimation in Finite Element Analysis , Pure Appl. (siam.org)

Here, a curvilinear mixed-interpolation-type triangular-prism element is proposed so as to express cylindrical air holes of a photonic crystal slab smoothly enough in fewer elements. (go.jp)

A boundary functional is presented aiming at a least-squares finite element solution of transport problems. (dlr.de)
M. Aurada, M. Feischl, T. Führer, M. Karkulik, and D. Praetorius, Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods , Comput. (siam.org)

This course will cover direct numerical methods for solving linear systems and linear least squares problems, stability and conditioning, computational methods for finding eigenvalues and eigenvectors, and iterative methods for both linear systems and eigenvalue problems. (umassd.edu)
In these cases, the computational cost of the inverse problem becomes equivalent to a direct finite element problem. (global-sci.org)

In the previous analysis conducted in 2018, both unconfined and triaxial compressive tests were conducted to investigate the strength characteristics of some specimens of a Utah coal, including the spalling limits, the ratio of apparent unconfined compressive strength (AUCS) to unconfined compressive strength (UCS), the damage characteristics, and the post-yield dilatancy. (cdc.gov)

Analysis of iterative methods for saddle point problems. (wikipedia.org)

Finite Element Methods and Their Applications. (wikipedia.org)
applications to data analysis. (umassd.edu)

Here, we resort to the discretisation with finite elements of the associated direct variational formulation, and solve the inverse analysis using a least square approach. (global-sci.org)

K. Bandara, T. Rüberg, and F. Cirak, Shape optimisation with multiresolution subdivision surfaces and immersed finite elements , Comput. (siam.org)

Numerical methods for solving initial value problems. (umassd.edu)

Numerical solution for an aggregation equation with degenerate diffusion. (us.es)

The numerical techniques include 2D and 3D finite element models. (emerald.com)
Suitable mathematical models combined with powerful numerical methods have become indispensable to make accurate predictions. (upc.edu)
However, based on the findings of trip chain analysis to calculate the spatial extent by developing regression models, it has been observed that the access trip length for walking ranges from 1.2-1.4 km, whereas the access trip length for NVM ranges from 4-4.7 km. (banglajol.info)
Two-dimensional finite element (FE) models were developed for the dynamic analysis of underground concrete pipelines loaded by seismic waves propagating from bedrock through soil. (kth.se)
Methods: Two 3D finite element models were specially prepared for this research simulating the abutment angulations. (bvsalud.org)
The floor-heave and no-floor-heave phenomena at a western US coal mine could not be properly simulated in numerical models using conventional shear-dominant failure criteria (i.e. (cdc.gov)

en & Kaya, 2020), but also income distribution (Bar- gain et al. (lu.se)

and development of strategies for mesh-adaptive finite element processes. (sdsmt.edu)

A finite element analysis was performed to compare the displacement and stress under 100-N, 200-N, 300-N, 400-N and 500-N force loads. (bvsalud.org)

International Journal for Numerical Methods in Biomedical Engineering. (oeaw.ac.at)

The numerical model allows to evaluate the mechanical engagement of commonly used microvalve architectures and to analyze the performance of alternative geometries. (caltech.edu)
Using RS3, a software for stress and deformation analysis, participants will analyze the stress and deformation behaviour of tunnels under various conditions. (rocscience.com)

derived the one-dimensional (1D) finite strain consolidation equation which was called the Gibson equation [ 12 ]. (hindawi.com)

Students work in independent teams to design, implement, and evaluate an appropriate data integration, analysis, and display system. (umassd.edu)
Researchers developed a numerical model to evaluate the performance of stopping materials and different wall geometries in a controlled environment. (cdc.gov)

The analysis of load-bearing capacity and the determination of blast protection levels for ordinary glass windows and façade components in buildings is known to represent a design and research issue of crucial importance. (glassonweb.com)

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