An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

DOI10.1090/mcom/3308zbMath1410.65449arXiv1607.06704OpenAlexW2510227433MaRDI QIDQ3177711

Thomas P. Wihler, Paul Houston

Publication date: 1 August 2018

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.06704

zbMATH Keywords

Newton methodadaptive finite element methodsdiscontinuous Galerkin methodssemilinear elliptic problems\(hp\)-adaptivity

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Semilinear elliptic equations (35J61)

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Uses Software

• MUMPS

Cites Work

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