Remarks around 50 lines of Matlab: short finite element implementation
From MaRDI portal
Publication:1805937
DOI10.1023/A:1019155918070zbMath0938.65129OpenAlexW2152848099MaRDI QIDQ1805937
Carsten Carstensen, Stefan A. Funken, Jochen Alberty
Publication date: 5 December 1999
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1019155918070
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to partial differential equations (35-04)
Related Items
A hybrid FEM for solving the Allen-Cahn equation ⋮ Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations ⋮ Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM ⋮ Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM ⋮ HILBERT -- a MATLAB implementation of adaptive 2D-BEM. \(\underline {\text H}\)ilbert \(\underline {\text I}\)s a \(\underline {\text L}\)ovely \(\underline {\text B}\)oundary \(\underline {\text E}\)lement \(\underline {\text R}\)esearch \(\underline {\text T}\)ool ⋮ A discontinuous Galerkin formulation for classical and gradient plasticity. II: Algorithms and numerical analysis ⋮ Fast Matlab evaluation of nonlinear energies using FEM in 2D and 3D: nodal elements ⋮ A posteriori error estimates for elliptic problems with Dirac delta source terms ⋮ Stable implementation of adaptive IGABEM in 2D in MATLAB ⋮ A preconditioned descent algorithm for variational inequalities of the second kind involving the \(p\)-Laplacian operator ⋮ A discrete Helmholtz decomposition with morley finite element functions and the optimality of adaptive finite element schemes ⋮ A low-order discontinuous Petrov-Galerkin method for the Stokes equations ⋮ The virtual element method in 50 lines of MATLAB ⋮ Efficient topology optimization in MATLAB using 88 lines of code ⋮ Convergent adaptive hybrid higher-order schemes for convex minimization ⋮ On minimization of nonlinear energies using FEM in MATLAB ⋮ Optimal control for sampling the transition path process and estimating rates ⋮ Ameshref: A Matlab-Toolbox for Adaptive Mesh Refinement in Two Dimensions ⋮ An oscillation-free adaptive FEM for symmetric eigenvalue problems ⋮ An iterative method with fifteenth-order convergence to solve systems of nonlinear equations ⋮ A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian ⋮ FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling ⋮ The lowest-order weak Galerkin finite element method for the Darcy equation on quadrilateral and hybrid meshes ⋮ Adaptive mesh refinement in 2D -- an efficient implementation in \textsc{Matlab} ⋮ A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains ⋮ Distribution of the discretization and algebraic error in numerical solution of partial differential equations ⋮ Heat transfer modeling in data centers ⋮ Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements ⋮ A short and versatile finite element multiscale code for homogenization problems ⋮ Stabilization methods in relaxed micromagnetism ⋮ Phenomenological and numerical modelling of short fibre reinforced cementitious composites ⋮ Space-time discretization of the heat equation ⋮ On the performance of the algebraic optimized Schwarz methods with applications ⋮ An adaptive finite element method in \(L^2\)-TV-based image denoising ⋮ On the Boolean model of Wiener sausages ⋮ Krylov subspace methods for estimating operator-vector multiplications in Hilbert spaces ⋮ Physics-Based Kriging Surrogates for a Class of Finite Element Codes ⋮ An immersed boundary neural network for solving elliptic equations with singular forces on arbitrary domains ⋮ Crouzeix-Raviart finite element approximation for the parabolic obstacle problem ⋮ Fast solvers with block-diagonal preconditioners for linear FEM-BEM coupling ⋮ An adaptive stabilized method for advection-diffusion-reaction equation ⋮ Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method ⋮ An introduction to the analysis and implementation of sparse grid finite element methods ⋮ Stable and accurate pressure approximation for unsteady incompressible viscous flow ⋮ Finite-element approximation for singularly perturbed nonlinear elliptic boundary-value problems ⋮ Averaging technique for FE -- a posteriori error control in elasticity. I: Conforming FEM ⋮ An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation ⋮ Averaging techniques yield reliable a posteriori finite element error control for obstacle problems ⋮ P2Q2Iso2D=2D isoparametric FEM in Matlab ⋮ Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods ⋮ Path following methods for steady laminar Bingham flow in cylindrical pipes ⋮ Open and traction boundary conditions for the incompressible Navier-Stokes equations ⋮ Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources ⋮ A Nonconforming Finite Element Approximation for the von Karman equations ⋮ The ultra weak variational formulation for the modified mild-slope equation ⋮ FEM and BEM simulations with the Gypsilab framework ⋮ An unstructured mesh convergent reaction-diffusion master equation for reversible reactions ⋮ Reconstructing gas distribution maps via an adaptive sparse regularization algorithm ⋮ Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems ⋮ A conforming primal-dual mixed formulation for the 2D multiscale porous media flow problem ⋮ Comparison Results of NonstandardP2Finite Element Methods for the Biharmonic Problem ⋮ Locking-free adaptive mixed finite element methods in linear elasticity ⋮ Unnamed Item ⋮ \(o\) FEM: an object oriented finite element package for Matlab ⋮ Numerical approaches to thermally coupled perfect plasticity ⋮ Simple finite element methods for approximating predator-prey dynamics in two dimensions using \texttt{MATLAB} ⋮ NUMERICAL SOLUTIONS TO A FRACTIONAL DIFFUSION EQUATION USED IN MODELLING DYE-SENSITIZED SOLAR CELLS ⋮ Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem
Uses Software
This page was built for publication: Remarks around 50 lines of Matlab: short finite element implementation
