Geodesic
Reproducing kernel particle method and its modification
Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 383-392

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MR Zbl
Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations, crack propagations and so on. Reproducing kernel particle method (RKPM) is one of meshless methods. In this contribution we deal with some modifications of the RKPM. The construction of the methods considered is given together with simple examples of their applications to solving boundary value problems.
Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations, crack propagations and so on. Reproducing kernel particle method (RKPM) is one of meshless methods. In this contribution we deal with some modifications of the RKPM. The construction of the methods considered is given together with simple examples of their applications to solving boundary value problems.
DOI : 10.21136/MB.2010.140829
Classification : 65L60, 65N30
Keywords: meshless method; partition of unity; reproducing kernel particle method; reproducing kernel hierarchical partition of unity; enriched reproducing kernel particle method 
Mošová, Vratislava. Reproducing kernel particle method and its modification. Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 383-392. doi: 10.21136/MB.2010.140829
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