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math.NA2023
High performance implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies
Gengjian Chen, Yuheng Ma, Jiwei Zhang
Nonlocality brings many challenges to the implementation of finite element methods (FEM) for nonlocal problems, such as large number of queries and invoke operations on the meshes.…
math.NA2022★ 23 cited
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
Chengchao Zhao, Nan Liu, Yuheng Ma +1
In this paper we consider a linearized variable-time-step two-step backward differentiation formula (BDF2) scheme for solving nonlinear parabolic equations. The scheme is construct…