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Dual error indicators for the local boundary integral equation method in 2D potential problems. (English) Zbl 1195.74233

Summary: Three relative error measurements in the numerical solution of potential problems are firstly investigated in detail, and then an algorithm based on the proposed dual error indicators is developed for the meshless local boundary integral equation (LBIE) method. Numerical experiments show that a combined use of the two error indicators is necessary to adequately measure the error of the LBIE solutions.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
76M15 Boundary element methods applied to problems in fluid mechanics
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