A posteriori upper and lower error bound of the high-order discontinuous Galerkin method for the heat conduction equation.
DOI10.1007/s10492-014-0045-7zbMath1324.65119OpenAlexW2049414368MaRDI QIDQ464690
Publication date: 29 October 2014
Published in: Applications of Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10338.dmlcz/143624
numerical experimentsdiscontinuous Galerkin methodHelmholtz decompositionaveraging interpolation operatorEuler backward schemelocal cut-off functionnonstationary heat conduction equationresidual-based a posteriori error estimate
Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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