Higher-order finite element methods. (©2004)

• Record Type: Book
• Further Information: Note: Pavel Šolin, Karel Segeth, Ivo Dolez̆el.
• Other Names: Šolin, Pavel; Segeth, Karel; Doležel, Ivo
• Contents: INTRODUCTION ; Finite Elements; Orthogonal Polynomials; A One-Dimensional Example; HIERARCHIC MASTER ELEMENTS OF ARBITRARY ORDER ; De Rham Diagram H 1-Conforming Approximations; H (curl)-Conforming Approximations; H (div)-Conforming Approximations; L 2-Conforming Approximations; HIGHER-ORDER FINITE ELEMENT DISCRETIZATION ; Projection-Based Interpolation on Reference Domains; Transfinite Interpolation Revisited; Construction of Reference Maps; Projection-Based Interpolation on Physical Mesh Elements; Technology of Discretization in Two and Three Dimensions; Constrained Approximation; Selected Software-Technical Aspects; HIGHER-ORDER NUMERICAL QUADRATURE ; One-Dimensional Reference Domain K(a) ; Reference Quadrilateral K(q) ; Reference Triangle K(t) ; Reference Brick K(B) ; Reference Tetrahedron K(T) ; Reference Prism K(P) ; NUMERICAL SOLUTION OF FINITE ELEMENT EQUATIONS ; Direct Methods for Linear Algebraic Equations; Iterative Methods for Linear Algebraic Equations; Choice of the Method; Solving Initial Value Problems for ordinary Differential Equations; MESH OPTIMIZATION, REFERENCE SOLUTIONS, AND hp- ADAPTIVITY ; Automatic Mesh Optimization in One Dimension; Adaptive Strategies Based on Automatic Mesh Optimization; Goal-Oriented Adaptivity; Automatic Goal-Oriented h-, p-, and hp- Adaptivity; Automatic Goal-Oriented hp -Adaptivity in Two Dimensions
• Publisher Details: Boca Raton, FL : Chapman & Hall/CRC
• Publication Date: 2004
• Copyright Date: 2004
• Extent: 1 online resource (xx, 382 pages), illustrations
• Subjects: 620/.001/51535; Finite element method; TECHNOLOGY & ENGINEERING -- Engineering (General); TECHNOLOGY & ENGINEERING -- Reference; Finite element method; Electronic books
• Languages: English
• ISBNs: 9781584884385; 0203488040; 9780203488041
• Related ISBNs: 158488438X
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.