Work

Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations

Year: 2015

Type: article

Abstract: In this paper we develop an adaptive procedure for the numerical solution of general, semilinear elliptic problems with possible singular perturbations. Our approach combines both prediction-type adaptive Newton methods and a linear adaptive finite element discretization (based on a robust a posteriori error analysis), thereby leading to a fully adaptive Newton--Galerkin scheme. Numerical experiments underline the robustness and reliability of the proposed approach for various examples.

Source: SIAM Journal on Scientific Computing

DOI: 10.1137/140983537

Authors: Mario Amrein, Thomas P. Wihler

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1900147047

FWCI: 2.727

Cites: 22

Cited by: 33

Related to: 20