Wepresnet a brief introduction of applying the idea of mortar method to locally nonconforming TRUNC element for solving plate bending problem. At the interfaces, three mortar conditions, one for the value of solution ...Wepresnet a brief introduction of applying the idea of mortar method to locally nonconforming TRUNC element for solving plate bending problem. At the interfaces, three mortar conditions, one for the value of solution in pointwise way, the other two for the normal and tangential derivatives of the solution in projection way, are provided to secure the global convergence. Afte some detailed analysis, we obtain that its error estimates in both energy norm and discrete H1 norm are optimal for u*∈H3(Ω)∩H2 0(Ω).展开更多
This paper provides a simplified derivation for error estimates of the TRUNC plate element. The error analysis for the problem with mixed boundary conditions is also discussed.
Suppose the solution and load , with a modified discrete equation, we give the error estimate: which can be applied to almost known nonconforming plate elements.
文摘Wepresnet a brief introduction of applying the idea of mortar method to locally nonconforming TRUNC element for solving plate bending problem. At the interfaces, three mortar conditions, one for the value of solution in pointwise way, the other two for the normal and tangential derivatives of the solution in projection way, are provided to secure the global convergence. Afte some detailed analysis, we obtain that its error estimates in both energy norm and discrete H1 norm are optimal for u*∈H3(Ω)∩H2 0(Ω).
基金The work was partly supported by NNSFC under the grant no. 10371076, E-Institutes of Shanghai Municipal Education Commission, N. E03004 and The Science Foundation of Shanghai under the grant no. 04JC14062. The second author is also engaged with Division of Computational Science, E-Institute of Shanghai Universities, Shanghai Normal University, China.
文摘This paper provides a simplified derivation for error estimates of the TRUNC plate element. The error analysis for the problem with mixed boundary conditions is also discussed.
文摘Suppose the solution and load , with a modified discrete equation, we give the error estimate: which can be applied to almost known nonconforming plate elements.
