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Description
  • An elliptic second order boundary value problem is considered in 1D. Given the total number of DOF, the goal is to find both the mesh and the polynomial degree distribution that minimize the difference between the exact solution and the hp-FEM solution. To this end, a constrained optimization method is applied. Since the optimization of the polynomial degree distribution leads to a combinatorial optimization problem, solving the entire optimization problem is a computationally demanding task.
  • An elliptic second order boundary value problem is considered in 1D. Given the total number of DOF, the goal is to find both the mesh and the polynomial degree distribution that minimize the difference between the exact solution and the hp-FEM solution. To this end, a constrained optimization method is applied. Since the optimization of the polynomial degree distribution leads to a combinatorial optimization problem, solving the entire optimization problem is a computationally demanding task. (en)
Title
  • A remark on the optimal mesh and the optimal polynomial degree distribution in solving 1D boundary value problem by the hp-FEM
  • A remark on the optimal mesh and the optimal polynomial degree distribution in solving 1D boundary value problem by the hp-FEM (en)
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  • A remark on the optimal mesh and the optimal polynomial degree distribution in solving 1D boundary value problem by the hp-FEM
  • A remark on the optimal mesh and the optimal polynomial degree distribution in solving 1D boundary value problem by the hp-FEM (en)
skos:notation
  • RIV/68407700:21110/11:00179277!RIV12-GA0-21110___
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  • P(GAP105/10/1682)
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  • 184109
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  • RIV/68407700:21110/11:00179277
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  • hp-FEM; optimal mesh; optimal polynomial degree (en)
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  • [510F9555AC1F]
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  • SNA'11 Seminar on Numerical Analysis. Modelling and Simulation of Challenging Engineering Problems
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  • Chleboun, Jan
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  • Ústav geoniky AV ČR
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  • 978-80-86407-19-7
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  • 21110
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