A conformal FEM framework with high-order elements and BDF2 stepping solves multidimensional nonlinear collisional breakage equations while preserving total particle count and hypervolume and achieving optimal convergence.
Thom´ ee.Galerkin finite element methods for parabolic problems, volume 25
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A higher-order conforming FEM with BDF2 time discretization for multidimensional fragmentation equations achieves O(h^{r+1}) spatial and second-order temporal L2 convergence under suitable regularity assumptions.
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A High-Order Conformal FEM for Multidimensional Nonlinear Collisional Breakage Equations: Analysis and Computation
A conformal FEM framework with high-order elements and BDF2 stepping solves multidimensional nonlinear collisional breakage equations while preserving total particle count and hypervolume and achieving optimal convergence.
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Error Analysis of a Conforming FEM for Multidimensional Fragmentation Equations
A higher-order conforming FEM with BDF2 time discretization for multidimensional fragmentation equations achieves O(h^{r+1}) spatial and second-order temporal L2 convergence under suitable regularity assumptions.