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A numerical verification method for the existence of weak solutions for nonlinear boundary value problems

✍ Scribed by Mitsuhiro T Nakao


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
768 KB
Volume
164
Category
Article
ISSN
0022-247X

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Numerical Verification of Solutions for
✍ Mitsuhiro T Nakao; Nobito Yamamoto πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 194 KB

We consider a numerical enclosure method with guaranteed L Ο± error bounds for the solution of nonlinear elliptic problems of second order. By using an a posteriori error estimate for the approximate solution of the problem with a higher order C 0 -finite element, it is shown that we can obtain the g