Stability and error analysis for a \(\mathrm{C}^0\) interior penalty method for the modified phase field crystal equation
DOI10.1007/s44007-024-00133-xMaRDI QIDQ6659510
Amanda E. Diegel, Natasha Sharma, Daniel Bond
Publication date: 9 January 2025
Published in: La Matematica (Search for Journal in Brave)
finite element methodnonlinear partial differential equationenergy stabilityhigher-order methodsphase field crystalsixth-order parabolic\(\mathrm{C}^0\) interior penalty method
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for nonlinear higher-order PDEs (35G30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Analysis of microstructure in solids (74N15)
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