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Update docs/notebooks/burger.ipynb
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Co-authored-by: James R. Maddison <[email protected]>
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Ig-dolci and jrmaddison authored Jan 29, 2024
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"## Burger's equation solver\n",
"The sensitivity computation is performed by first solving the forward problem, and then using the forward solution to solve the adjoint problem. \n",
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"To solve forward and adjoint solvers, we implement `BurgersEquation` class that execute the forward and adjoint solvers. In addition, the `BurgersEquation` has the `copy_data` that copies the data from one storage type to another, and `adjoint_initial_condition` that sets the adjoint initial condition.\n",
"To solve the forward and adjoint problems, we define a `BurgersEquation` class that can be used to compute the forward and adjoint solutions. In addition, the `BurgersEquation` class defines a `copy_data` method that copies the data from one storage type to another, and an `adjoint_initial_condition` method that initializes the adjoint.\n",
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"The forward Burger's equation is discretised using the Finite Element Method (FEM). We use continuous first-order Lagrange basis functions to discretise the spatial domain. The backward finite difference method is employed to discretise the equations in time.\n",
"\n",
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