# Finite differences and boundary element methods for non-stationary viscous incompressible flow

Banach Center Publications (1994)

- Volume: 29, Issue: 1, page 135-154
- ISSN: 0137-6934

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topVarnhorn, Werner. "Finite differences and boundary element methods for non-stationary viscous incompressible flow." Banach Center Publications 29.1 (1994): 135-154. <http://eudml.org/doc/262880>.

@article{Varnhorn1994,

abstract = {We consider an implicit fractional step procedure for the time discretization of the non-stationary Stokes equations in smoothly bounded domains of ℝ³. We prove optimal convergence properties uniformly in time in a scale of Sobolev spaces, under a certain regularity of the solution. We develop a representation for the solution of the discretized equations in the form of potentials and the uniquely determined solution of some system of boundary integral equations. For the numerical computation of the potentials and the solution of the boundary integral equations a boundary element method of collocation type is carried out.},

author = {Varnhorn, Werner},

journal = {Banach Center Publications},

keywords = {implicit fractional step procedure; time discretization; convergence; Sobolev spaces; collocation},

language = {eng},

number = {1},

pages = {135-154},

title = {Finite differences and boundary element methods for non-stationary viscous incompressible flow},

url = {http://eudml.org/doc/262880},

volume = {29},

year = {1994},

}

TY - JOUR

AU - Varnhorn, Werner

TI - Finite differences and boundary element methods for non-stationary viscous incompressible flow

JO - Banach Center Publications

PY - 1994

VL - 29

IS - 1

SP - 135

EP - 154

AB - We consider an implicit fractional step procedure for the time discretization of the non-stationary Stokes equations in smoothly bounded domains of ℝ³. We prove optimal convergence properties uniformly in time in a scale of Sobolev spaces, under a certain regularity of the solution. We develop a representation for the solution of the discretized equations in the form of potentials and the uniquely determined solution of some system of boundary integral equations. For the numerical computation of the potentials and the solution of the boundary integral equations a boundary element method of collocation type is carried out.

LA - eng

KW - implicit fractional step procedure; time discretization; convergence; Sobolev spaces; collocation

UR - http://eudml.org/doc/262880

ER -

## References

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