Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions

  title={Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions},
  author={Varis Carey and Donald J. Estep and Andr{\'e}as Johansson and Martha Larson and Stephen Tavener},
We describe and test an adaptive algorithm for evolution problems that employs a sequence of “blocks” consisting of fixed, though non-uniform, space meshes. This approach offers the advantages of adaptive mesh refinement but with reduced overhead costs associated with load balancing, re-meshing, matrix reassembly, and the solution of adjoint problems used to estimate discretization error and the effects of mesh changes. A major issue with a block-adaptive approach is determining block… CONTINUE READING
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