Semidiscrete and single step fully discrete approximations for second order hyperbolic equations

 Access to full text

 Full (PDF)

1. 1 I BABUSKA, Survey Lectures on the Mathematical Foundations of the finite element method, in « The Mathematical Foundations of the finite element method wit applications to partial differential equations », A K Aziz, e d , Academic Press, New York, 1972 Zbl0268.65052MR421106
2. 2 I BABUSKA, The finite element method with Lagrangian multipliers, Numer Math , 20, 1973, p 179-192 Zbl0258.65108MR359352
3. 3 G A BAKER, Error estimates for finite element methods for second order hyperbolic equations, S I A M , J Numer Anal, 13, n° 4, 1976, p 564-576 Zbl0345.65059MR423836
4. 4 G A BAKER, Finite element-Galerkin approximations for hyperbolic equations with discontinuons coefficients, Tech Rep Math , École Polytechnique de Lausanne, 1973 
5. 5 G A BAKER, J H BRAMBLE, V THOMEE, Single step Galerkin approximations for parabolic equations Math Cornp 31, n° 140 1977 p 818-847 Zbl0378.65061MR448947
6. 6 J H BRAMBLE, J OSBORN, Rate of convergence estimates for nonself-adjoint eigen-value approximations, Math Comp, 27, n° 123, 1973, p 525-549 Zbl0305.65064MR366029
7. 7 J H BRAMBLE, V THOMEE, Discrete time Galerkin methods for a par abolie boundary value problem, Ann Mat Pura Appl, Serie IV, 101, 1974, p 115-152 Zbl0306.65073MR388805
8. 8 M CROUZEIX, Sur l'approximation des equations differentielles operationnelles lineaires par des methodes de Runge-Kutta, These, Univ de Pans VI, 1975 
9. 9 T DUPONT, L${}^2$ estimates for Galerkin methods for second order hyperbolic equations, S I A M , J Numer Anal, 10, n° 5, 1973, p 880-889 Zbl0239.65087MR349045
10. 10 J NITSCHE, Uber ein Vartationspnnzip zur Losung von Dirichlet-Problemen bei Verwendung von Teilraumen, die keinen Randbedingungen unterworfen sind, A B H Math Sem, Univ Hamburg, 36, 1971, p 9-15 Zbl0229.65079MR341903
11. 11 J NÏTSCHE, On Dinchlet problems using subspaces with nearly zero boundary conditions, in « The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations », A K Aziz, ed , Academic Press, New York, 1972, p 603-627 Zbl0271.65059MR426456
12. 12 S P NØRSETT, One step methods of Hermite type for numencal integration of stiff systems, B I T 14, 1974, p 63-77 Zbl0278.65078MR337014
13. 13 R S VARGA, Matrix iterative analysis, Prentice Hall, Englewood Cliffs, N J , 1962 Zbl0133.08602MR158502

1. Tunc Geveci, Ian Christie, The convergence of a Galerkin approximation scheme for an extensible beam
2. L. A. Bales, Semidiscrete and single step fully discrete finite element approximations for second order hyperbolic equations with nonsmooth solutions
3. Georgios Akrivis, Charalambos Makridakis, Galerkin time-stepping methods for nonlinear parabolic equations
4. Ch. G. Makridakis, P. Monk, Time-discrete finite element schemes for Maxwell's equations
5. Tunc Geveci, On the application of mixed finite element methods to the wave equations