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Identifier

uch.math.phd//1990DIS0126

Title

Αριθμητικές μέθοδοι Galerkin/πεπερασμένων στοιχείων για τις εξισώσεις της ελαστοδυναμικής

Alternative Title

Galerkin/finite element methods for the equations of elastodynamics

Creator

Makridakis, Charalambos

Contributor

ΤΜΗΜΑ ΜΑΘΗΜΑΤΙΚΩΝ

Abstract

In this work we consider numerical methods for the approximation of the elastic wave equations (linear and nonlinear). We descretize the space variable using finite element methods. For the discretization of time variable we use schemes the construction of which is based on rational approximations of cosine and exponential. This because the equations of the elastodynamics is a hyperbolic system of partial differential equations. We construct and analyze the error of standard Galerkin methods, mixed methods for the linear equations. We study the problem of construction effective numerical methods for the linear equations with absorbing boundary conditions. We show optimer-order error estimates for numerical methods for the nonlinear elastic wave equations.

Physical description

198

Language

Greek

Subject

ΑΡΙΘΜΗΤΙΚΕΣ ΜΕΘΟΔΟΙ; ΠΕΠΕΡΑΣΜΕΝΑ ΣΤΟΙΧΕΙΑ; ΕΞΙΣΩΣΕΙΣ ΕΛΑΣΤΙΚΩΝ ΚΥΜΑΤΩΝ; ΗΜΙΔΙΑΚΡΙΤΑ ΣΧΗΜΑΤΑ; ΠΛΗΡΩΣ ΔΙΑΚΡΙΤΑ ΣΧΗΜΑΤΑ; ΜΙΚΤΕΣ ΜΕΘΟΔΟΙ; ΣΥΝΟΡΙΑΚΕΣ ΣΥΝΘΗΚΕΣ ΑΠΟΡΡΟΦΗΣΗΣ; ΕΚΤΙΜΗΣΕΙΣ ΣΦΑΛΜΑΤΩΝ; NUMERICAL METHODS; FINITE ELEMENTS; ELASTIC WAVES; SEMIDISCRETE SCHEMES; FULLY DISCRETE SCHEMES; MIXED METHODS; ABSORBING BOUNDARY CONDITIONS; ERROR ESTIMATES

Issue date

1990-01-01

Date available

1997-06-6

Collection

School/Department--School of Sciences and Engineering--Department of Mathematics--Doctoral theses

Type of Work--Doctoral theses

Notes

Committee Member ΑΘΑΝΑΣΟΠΟΥΛΟΣ ΙΩΑΝΝΗΣ (ΕΕ)

Committee Member ΑΚΡΙΒΗΣ ΓΕΩΡΓΙΟΣ (ΕΕ)

Committee Member ΔΟΥΓΑΛΗΣ ΒΑΣΙΛΕΙΟΣ (ΕΕ)

Committee Member ΜΠΑΚΟΠΟΥΛΟΣ ΑΛΕΞΑΝΔΡΟΣ (ΕΕ)