LI Hong, LIU Ru-xun. The Space-Time Finite Element Method for Parabolic Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 613-624.
Citation: LI Hong, LIU Ru-xun. The Space-Time Finite Element Method for Parabolic Problems[J]. Applied Mathematics and Mechanics, 2001, 22(6): 613-624.

The Space-Time Finite Element Method for Parabolic Problems

  • Received Date: 1999-12-14
  • Rev Recd Date: 2000-11-28
  • Publish Date: 2001-06-15
  • Adaptive space-time finite element method,continuous in space but discontinuous in time for semi-linear parabolic problems is discussed.The approach is based on a combination of finite element and finite difference techniques.The existence and uniqueness of the weak solution are proved without any assumptions on choice of the space-time meshes.Basic error estimates in L(L2)norm,that is maximum-norm in time,L2-norm in space are obtained.The numerical results are given in the last part and the analysis between theoretic and experimental results are obtained.
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