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An adaptive mesh-moving and local refinement method for time-dependent partial differential equations

An adaptive mesh-moving and local refinement method for time-dependent partial differential equations

We discuss mesh-moving, static mesh-regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time-dependent partial differential equations in two space dimensions and time. A coarse base mesh of quadrilateral cells is moved by …