On Jirousek method and its generalizations

Computer Assisted Mechanics and Engineering Sciences

Volumn 8, Issue 2-3, 2001, Pages 325-342

  Herrera, I ^a  

^a IIMAS UNAM   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ELASTICITY; PLATES (STRUCTURAL COMPONENTS); POISSON EQUATION; SHELLS (STRUCTURES); VARIATIONAL TECHNIQUES;

BIHARMONIC EQUATIONS; JIROUSEK METHOD; SECOND ORDER ELLIPTIC OPERATORS; TRANSIENT HEAT ANALYSIS; TREFFTZ METHOD;

FINITE ELEMENT METHOD;

EID: 0034844234     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (74)

1. The Gauss theorem for domain decompositions in Sobolev spaces
2. Solution of general differential equations using the algebraic theory approach
3. A new numerical approach for the advective diffusive transport equation
4. An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
5. Constructive methods for elliptic partial differential equations
6. Boundary methods. C-complete systems for biharmonic equations
7. An Eulerian-Lagrangian method of cells, based on localized adjoint methods
8. Boundary methods. A criterion for completeness
9. An algebraic theory of boundary value problems
10. Boundary methods for fluids
11. Trefftz method
12. Unified approach to numerical methods. Part 1: Green's formulas for operators in discontinuous fields
13. Unified approach to numerical methods. Part 2: Finite elements, boundary methods and its coupling
14. Some unifying concepts in applied mathematics
15. The algebraic theory approach for ordinary differential equations: Highly accurate finite differences
16. Localized adjoint methods: A new discretization methodology
17. On operator extensions: The algebraic theory approach
18. Innovative discretization methodologies based on LAM
19. Trefftz-Herrera domain decomposition
20. Trefftz-Herrera method
21. Collocation from a broad perspective
22. Operator ext. & Green-Herrera formulas
23. Eulerian-Lagrangian localized adjoint method: The theoretical framework
24. Unified approach to numerical methods. Part 3: Finite differences and ordinary differential equations
25. Indirect methods of collocation: Trefftz-Herrera collocation
26. Boundary methods. C-complete systems for Stokes problems
27. Collocation: Direct methods
28. Basis for development of large finite elements locally satisfying all field equations
29. Hybrid-Trefftz plate bending elements with p-method capabilities
30. The hybrid-Trefftz finite element model and its application to plate bending
31. A powerful finite element for plate bending
32. Solution of orthotropic plates based on p-extension of the hybrid-Trefftz finite element model
33. Application of hybrid-Trefftz element approach to transient heat conduction analysis
34. Mesh design and reliability assurance in hybrid-Trefftz p-element approach
35. Large finite elements method for the solution of problems in the theory of elasticity
36. Implementation of curvilinear geometry into p-version HT plate elements
37. A simple stress error estimator for hybrid-Trefftz p-version elements
38. Adaptivity in hybrid-Trefftz finite element formulation
39. A new FE approach for adaptive reliability assurance
40. T-elements: State of the art and future trends
41. A family of quadrilateral hybrid-Trefftz p-elements for thick plate analysis
42. A new 12DOF quadrilateral element for analysis of thick and thin plates
43. Survey of Trefftz-Type element formulations
44. On the Schwarz alternating method
45. Hybrid-Trefftz quadrilateral elements for thick plate analysis
46. On the representation of three-dimensional elasticity solutions with the aid of complex valued functions
47. A quadrilateral hybrid-Trefftz plate bending element for the inclussion of warping based on a three-dimensional plate formulation
48. A boundary method for elastic wave diffraction. Application to scattering of sh-waves by surface irregularities
49. Ein Gegenstück zum Ritzschen Verfahren
50. Application of the hybrid-Trefftz finite element model to thin shell analysis
51. Application of hybrid-Trefftz p-elements to stress analysis in shafts
52. Hybrid-Trefftz p-element for 3d axisymmetric problems of elasticity
53. Trefftz method: Fitting boundary conditions
54. Generalized finite element analysis with t-complete boundary solution functions