A finite element method for quasi - static problems of two - phase porous media
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Mixed finite element method for quasi - static problems of fluid - saturated biphase porous media
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First , the penalty finite element balance equation for quasi - static problem is obtained by the application of galerkin weighted residual method and the introduction of penalty parameter
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In this paper we discuss the three - dimensional quasi - static problems by using the magneto thermo elasticity theory , which is related to geotherm : the situations of the heat - carrying fluid intruding into the vertical or horizontal cracks , and the case of static local high temperature regions
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On the base of mathematical domain decomposition method ( ddm ) , this paper investigates systematically the quasi - static problems based on laplace equation , the transmission problems in waveguide based helmholtz equation and the three - dimensional scattering and radiation problems based on maxwell equations . the theoretical system is built for the further exploration of ddm in electromagnetic problems
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In order to compare with the extreme of dynamic solutions when the mach number approaches zero , i . e . the quasi - static propagation , the corresponding quasi - static problem is also studied asymptotically in the paper . the governing equations of crack - tip field are derived , and numerical solutions are obtained by selections of typical parameter values with combination of boundary conditions of each problem
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