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Title

GEOMETRIC CALCULUS AND FEMS FOR VLASOV-MAXWELL SYSTEM

Writers

ASADZADEH MOHAMMAD

Pages

 Start Page | End Page

Abstract

GEOMETRIC CALCULUS UNIFY, SIMPLIFY AND GENERALIZE MANY FIELDS OF MATHEMATICS THAT INVOLVE GEOMETRIC IDEAS. THIS WORK IS A SWIFT INTRODUCTION TO A FEW CONCEPTS IN GEOMETRIC CALCULUS LEADING TO SIMPLE REPRESENTATION OF MAXWELL EQUATIONS. WE THEN APPROXIMATE THE VLASOV-MAXWELL SYSTEM USING STREAMLINE DIFFUSION FINITE ELEMENT METHOD. IN THIS PART WE DERIVE OPTIMAL CONVERGENCE RATES DUE TO THE MAXIMAL AVAILABLE REGULARITY OF THE EXACT SOLUTION.

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