Gatica, Gabriel N.
A Simple Introduction to the Mixed Finite Element Method Theory and Applications / [electronic resource] : by Gabriel N. Gatica. - XII, 132 p. online resource. - SpringerBriefs in Mathematics, 2191-8198 . - SpringerBriefs in Mathematics, .
Introduction -- The Babuska-Brezzi Theory -- Raviart-Thomas Spaces -- Mixed Finite Element Methods.
The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.
9783319036953
10.1007/978-3-319-03695-3 doi
Mathematics.
Differential equations, partial.
Numerical analysis.
Mathematics.
Numerical Analysis.
Partial Differential Equations.
Several Complex Variables and Analytic Spaces.
QA297-299.4
518
A Simple Introduction to the Mixed Finite Element Method Theory and Applications / [electronic resource] : by Gabriel N. Gatica. - XII, 132 p. online resource. - SpringerBriefs in Mathematics, 2191-8198 . - SpringerBriefs in Mathematics, .
Introduction -- The Babuska-Brezzi Theory -- Raviart-Thomas Spaces -- Mixed Finite Element Methods.
The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.
9783319036953
10.1007/978-3-319-03695-3 doi
Mathematics.
Differential equations, partial.
Numerical analysis.
Mathematics.
Numerical Analysis.
Partial Differential Equations.
Several Complex Variables and Analytic Spaces.
QA297-299.4
518