Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces

31 Mar 2015  ·  Kovács Balázs, Guerra Christian Andreas Power ·

Convergence results are shown for full discretizations of quasilinear parabolic partial differential equations on evolving surfaces. As a semidiscretization in space the evolving surface finite element method is considered, using a regularity result of a generalized Ritz map, optimal order error estimates for the spatial discretization is shown... Combining this with the stability results for Runge--Kutta and BDF time integrators, we obtain convergence results for the fully discrete problems. read more

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Numerical Analysis