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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We study the effect of numerical quadrature in space on semidiscrete and fully discrete piecewise linear finite element methods for parabolic interface problems. Optimal L2(L2) and L2(H1) error esti- mates are shown to hold for semidiscrete problem under suitable regular- ity of the true solution in whole domain. Further, fully discrete scheme based on backward Euler method has also analyzed and optimal L2(L2) norm error estimate is established. The error estimates are obtained for fitted finite element discretization based on straight interface triangles.
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참고문헌 (24)
참고문헌 신청
A. Hansbo / 2002 / An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems / Comput. Methods Appl. Mech. Engrg 191 (47-48) : 5537 ~ 55
B. Deka / 2010 / Finite element methods with numerical quadrature for elliptic problems with smooth interfaces / J. Comput. Appl. Math 234 (2) : 605 ~ 612
B. Deka / 2011 / L∞(L2) and L∞(H1) norms error estimates in finite element method for linear parabolic interface problems / Numer. Funct. Anal. Optim 32 (3) : 267 ~ 285
B. Deka / 2012 / Semidiscrete finite element methods for linear and semilinear parabolic problems with smooth interfaces: some new optimal error estimates / Numer. Funct. Ana
B. Deka / 2013 / Finite element method with quadrature for parabolic interface problems / Neural Parallel Sci. Comput 21 (3-4) : 477 ~ 496
B. Deka / 2010 / Finite element methods with numerical quadrature for elliptic problems with smooth interfaces / J. Comput. Appl. Math 234 (2) : 605 ~ 612
B. Deka / 2011 / L∞(L2) and L∞(H1) norms error estimates in finite element method for linear parabolic interface problems / Numer. Funct. Anal. Optim 32 (3) : 267 ~ 285
B. Deka / 2012 / Semidiscrete finite element methods for linear and semilinear parabolic problems with smooth interfaces: some new optimal error estimates / Numer. Funct. Ana
B. Deka / 2013 / Finite element method with quadrature for parabolic interface problems / Neural Parallel Sci. Comput 21 (3-4) : 477 ~ 496
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