Computational Differential Equations

Authors:
K. Eriksson;D. Estep;P. Hansbo;C. Johnson
Affiliations:
-;-;-;-
Venue:
Computational Differential Equations
Year:
1996

Citing 0
Cited 32

High accuracy analysis of the Adini's nonconforming element

Computing
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations: part I: The steady state case

Mathematics of Computation
Optimization of Algorithmic Parameters using a Meta-Control Approach*

Journal of Global Optimization
Numerical approximation and error control for a thermoelastic contact problem

Applied Numerical Mathematics
Fast and reliable methods for determining the evolution of uncertain parameters in differential equations

Journal of Computational Physics
Multigrid Methods on Adaptively Refined Grids

Computing in Science and Engineering
Remarks on a posteriori error estimation for finite element solutions

Journal of Computational and Applied Mathematics - Special issue: Scientific computing, computer arithmetic, and validated numerics (SCAN 2004)
Superconvergence of the continuous Galerkin finite element method for delay-differential equation with several terms

Journal of Computational and Applied Mathematics
Efficient compilation of a class of variational forms

ACM Transactions on Mathematical Software (TOMS)
A projection based multiscale optimization method for eigenvalue problems

Journal of Global Optimization
Valuing Asian options using the finite element method and duality techniques

Journal of Computational and Applied Mathematics
ADER finite volume schemes for nonlinear reaction--diffusion equations

Applied Numerical Mathematics
Convergence of adaptive finite element methods in computational mechanics

Applied Numerical Mathematics
Numerical optimization for the purification of polluted shallow waters

Journal of Computational and Applied Mathematics
Neural network time series forecasting of finite-element mesh adaptation

Neurocomputing
Simulation of multiphysics problems using adaptive finite elements

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems

Computational Optimization and Applications
A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints

Computational Optimization and Applications
A numerical framework for load identification and regularization with application to rolling disc problem

Computers and Structures
Space-time discontinuous Galerkin finite element method for convection-diffusion problems and compressible flow

NMA'10 Proceedings of the 7th international conference on Numerical methods and applications
From Functional Analysis to Iterative Methods

SIAM Review
Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions

SIAM Journal on Scientific Computing
A Posteriori Error Analysis for the Use of Lookup Tables in Cardiac Electrophysiology Simulations

SIAM Journal on Scientific Computing
Supporting the testing of scientific frameworks with software product line engineering: a proposed approach

Proceedings of the 4th International Workshop on Software Engineering for Computational Science and Engineering
A comparison of structure-preserving integrators for discrete thermoelastic systems

Computational Mechanics
A Posteriori Error Analysis of Stochastic Differential Equations Using Polynomial Chaos Expansions

SIAM Journal on Scientific Computing
A Priori Error Analysis of the Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems

SIAM Journal on Control and Optimization
Original article: Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics

Mathematics and Computers in Simulation
Load identification for a rolling disc: finite element discretization and virtual calibration

Computational Mechanics
A Posteriori Error Analysis of Parameterized Linear Systems Using Spectral Methods

SIAM Journal on Matrix Analysis and Applications
A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis

SIAM Journal on Numerical Analysis
Goal-Oriented Local A Posteriori Error Estimators for H(div) Least-Squares Finite Element Methods

SIAM Journal on Numerical Analysis

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Abstract

From the Publisher:This two volume introduction to the computational solution of differential equations uses a unified approach organized around the adaptive finite element method. It presents a synthesis of mathematical modeling, analysis, and computation.