feat(hex8): connect Solid CLI and atomic HDF5 output

include/fesa/analysis/newton_iteration_log.h

@@ -11,6 +11,8 @@
 #include "fesa/core/status.h"
 
 namespace fesa {
+struct SolidStaticIterationRecord;
+struct SolidDynamicIterationRecord;
 
 /// @brief Identifies the latest Newton procedure stage reached by a record.
 enum class NewtonIterationStage {
@@ -93,6 +95,12 @@ class NewtonIterationLogWriter {
   /// evidence or stream failure permanently fails this writer instance.
   Status Write(const DynamicNewtonIterationLogRecord& record);
 
+  /// @brief Writes the two actual Solid static convergence channels.
+  Status Write(const SolidStaticIterationRecord& record,
+               const std::string& step_name);
+  /// @brief Writes scalar full-pair Solid HHT convergence evidence.
+  Status Write(const SolidDynamicIterationRecord& record);
+
   /// @brief Flushes every complete record written so far to the log.
   /// @return Success after the stream flush, otherwise an output failure with
   /// code `log-output-failure`.