An \(h\)-\(p\) adaptive method using clouds. (English) Zbl 0918.73328

Summary: Several computational and mathematical features of the \(h\)-\(p\) cloud method are demonstrated. We show how \(h\), \(p\) an \(h\)-\(p\) adaptivity can be implemented in the \(h\)-\(p\) cloud method without traditional grid concepts typical of finite element methods. The mathematical derivation of an a posteriori error estimate for the \(h\)-\(p\) cloud method is also presented. Several numerical examples illustrate the main ideas of the method.


74S30 Other numerical methods in solid mechanics (MSC2010)
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