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The use of adaptive grid refinement for badly behaved elliptic partial differential equations

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  • Bank, Randolph E.
  • Sherman, Andrew H.

Abstract

Adaptive grid refinement is potentially a very powerful means of dealing with singularities and other types of misbehavior in the solutions of elliptic partial differential equations. Combined with the multi-level iterative technique for solving the matrix equations, the method can be implemented in a reasonably efficient fashion.

Suggested Citation

  • Bank, Randolph E. & Sherman, Andrew H., 1980. "The use of adaptive grid refinement for badly behaved elliptic partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 22(1), pages 18-24.
    • Handle: RePEc:eee:matcom:v:22:y:1980:i:1:p:18-24
    DOI: 10.1016/0378-4754(80)90098-1
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