Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept

JOURNAL ARTICLE published January 2000 in SIAM Journal on Control and Optimization

Authors: Roland Becker | Hartmut Kapp | Rolf Rannacher

Computer Methods for Partial Differential Equations, Volume L. Elliptic Equations and the Finite-Element Method (Robert Vichnevetsky)

JOURNAL ARTICLE published July 1983 in SIAM Review

Authors: R. B. Kellogg

A Framework for the Adaptive Finite Element Solution of Large-Scale Inverse Problems

JOURNAL ARTICLE published January 2008 in SIAM Journal on Scientific Computing

Authors: Wolfgang Bangerth

An Adaptive Finite Element Method for Unsteady Convection-Dominated Flows with Stiff Source Terms

JOURNAL ARTICLE published January 1999 in SIAM Journal on Scientific Computing

Authors: Friedrich K. Hebeker | Rolf Rannacher

Galerkin Finite Element Methods for Stochastic Parabolic Partial Differential Equations

JOURNAL ARTICLE published January 2005 in SIAM Journal on Numerical Analysis

Authors: Yubin Yan

A Benchmark for the Bayesian Inversion of Coefficients in Partial Differential Equations

JOURNAL ARTICLE published November 2023 in SIAM Review

Research funded by National Science Foundation (OAC-1835673,DMS-1821210,EAR-1925595,EAR-1550901) | National Science Foundation (DMS-1818726,DMS-2111277)

Authors: David Aristoff | Wolfgang Bangerth

Adaptive Finite Element Solution Algorithm for the Euler Equations (R. A. Shapiro)

JOURNAL ARTICLE published September 1993 in SIAM Review

Authors: R. J. LeVeque

Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations

JOURNAL ARTICLE published January 2011 in SIAM Journal on Numerical Analysis

Authors: Roland Becker | Shipeng Mao

Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws

JOURNAL ARTICLE published January 2003 in SIAM Journal on Scientific Computing

Authors: Ralf Hartmann | Paul Houston

On Adaptive Finite Element Methods for Fredholm Integral Equations of the Second Kind

JOURNAL ARTICLE published June 1994 in SIAM Journal on Numerical Analysis

Authors: Mohammad Asadzadeh | Kenneth Eriksson

Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations

JOURNAL ARTICLE published January 2014 in SIAM Journal on Numerical Analysis

Authors: Klaus Deckelnick | Charles M. Elliott | Thomas Ranner

Multilevel Adaptive Methods for Partial Differential Equations (Stephen F. McCormick)

JOURNAL ARTICLE published December 1991 in SIAM Review

Authors: Alan Weiser

Convergence of Adaptive Finite Element Methods

JOURNAL ARTICLE published January 2002 in SIAM Review

Authors: Pedro Morin | Ricardo H. Nochetto | Kunibert G. Siebert

Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form

JOURNAL ARTICLE published January 2020 in SIAM Journal on Numerical Analysis

Research funded by Research Grants Council of the Hong Kong Special Administrative Region, China (CityU 11302219,CityU 11300517)

Authors: Weifeng Qiu | Shun Zhang

Numerical Solution of Partial Differential Equations: Finite Difference Methods (G. D. Smith)

JOURNAL ARTICLE published July 1980 in SIAM Review

Authors: T. A. Porsching

An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations

JOURNAL ARTICLE published March 1982 in SIAM Journal on Scientific and Statistical Computing

Authors: Stephen F. Davis | Joseph E. Flaherty

Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations

JOURNAL ARTICLE published February 2024 in SIAM Review

Research funded by Mathematisches Forschungsinstitut Oberwolfach (1937p) | Leverhulme Trust (RF-2019-510) | Research Training Group DAEDALUS (RTG 2433) | Czech Science Foundation (22-01591S)

Authors: Gabriel R. Barrenechea | Volker John | Petr Knobloch

Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

JOURNAL ARTICLE published January 2012 in SIAM Journal on Numerical Analysis

Authors: Frances Y. Kuo | Christoph Schwab | Ian H. Sloan

A Finite Element Method for Random Differential Equations with Random Coefficients

JOURNAL ARTICLE published December 1979 in SIAM Journal on Numerical Analysis

Authors: Tze-Chien Sun

Asymptotic $L^infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems

JOURNAL ARTICLE published April 1978 in SIAM Journal on Numerical Analysis

Authors: Jens Frehse | Rolf Rannacher